Ax-Lindemann for Ag

• 成果类型: Article
• 署名作者: Pila, Jonathan; Tsimerman, Jacob
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.179.2.5
• 发表日期: 2014
• 页码: 659-681
• 关键词: andre-oort conjecture; rational-points; field; families; THEOREM; Orbits

摘要

We prove the Ax-Lindemann theorem for the coarse moduli space A(g) of principally polarized abelian varieties of dimension g >= 1. We affirm the Andre-Oort conjecture unconditionally for A(g) for g <= 6, and under GRH for all g.